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Finding the Fourth Proportional to 1,277.04, 1,761.42 and 835.45

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Solution

The fourth proportional to 1,277.04, 1,761.42 and 835.45 is: 1,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.04 : 1,761.42 = 835.45 : x
  2. Step 2: Convert to fraction form
    1,277.04/1,761.42 = 835.45/x
  3. Step 3: Cross multiply
    1,277.04x = 1,761.42 × 835.45
  4. Step 4: Simplify right side
    1,277.04x = 1,471,578.34
  5. Step 5: Solve for x
    x = 1,471,578.34/1,277.04
  6. Step 6: Final answer
    x = 1,152.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.